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1110311310030 = 2351319181827843
BaseRepresentation
bin10000001010000011101…
…101100001001011001110
310221010220111121120221020
4100022003231201023032
5121142404143410110
62210023040415010
7143134356262626
oct20120355411316
93833814546836
101110311310030
1139897587491a
1215b229017466
1380918123460
143ba4cb05886
151dd35d53d70
hex10283b612ce

1110311310030 has 128 divisors (see below), whose sum is σ = 3037458977280. Its totient is φ = 257491975680.

The previous prime is 1110311309993. The next prime is 1110311310037. The reversal of 1110311310030 is 300131130111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1110311309991 and 1110311310009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110311310037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 927289 + ... + 1755131.

It is an arithmetic number, because the mean of its divisors is an integer number (23730148260).

Almost surely, 21110311310030 is an apocalyptic number.

1110311310030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110311310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518729488640).

1110311310030 is an abundant number, since it is smaller than the sum of its proper divisors (1927147667250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1110311310030 is a wasteful number, since it uses less digits than its factorization.

1110311310030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828066.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1110311310030 its reverse (300131130111), we get a palindrome (1410442440141).

The spelling of 1110311310030 in words is "one trillion, one hundred ten billion, three hundred eleven million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 181 190 195 247 285 362 390 494 543 570 741 905 1086 1235 1482 1810 2353 2470 2715 3439 3705 4706 5430 6878 7059 7410 10317 11765 14118 17195 20634 23530 34390 35295 44707 51585 70590 89414 103170 134121 223535 268242 447070 670605 827843 1341210 1655686 2483529 4139215 4967058 8278430 10761959 12417645 15729017 21523918 24835290 31458034 32285877 47187051 53809795 64571754 78645085 94374102 107619590 149839583 157290170 161429385 204477221 235935255 299679166 322858770 408954442 449518749 471870510 613431663 749197915 899037498 1022386105 1226863326 1498395830 1947914579 2044772210 2247593745 2846952077 3067158315 3895829158 4495187490 5693904154 5843743737 6134316630 8540856231 9739572895 11687487474 14234760385 17081712462 19479145790 28469520770 29218718685 37010377001 42704281155 58437437370 74020754002 85408562310 111031131003 185051885005 222062262006 370103770010 555155655015 1110311310030